高速磁浮列车−柔性轨道梁横向耦合振动  

Lateral coupling vibration of high-speed maglev train and flexible guideway-beam

作　　者：王淼[1,2] 宋振森 滕念管[1,2] WANG Miao;SONG Zhensen;TENG Nianguan(School of Naval Architecture,Ocean&Civil Engineering,Shanghai Jiaotong University,Shanghai 200240,China;Shanghai Key Laboratory for Digital Maintenance of Buildings and Infrastructure,Shanghai 200240,China)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240 [2]上海市公共建筑和基础设施数字化运维重点实验室,上海200240

出　　处：《铁道科学与工程学报》2022年第2期301-309,共9页Journal of Railway Science and Engineering

基　　金：国家重点研发计划项目(2016YFB1200602-28)。

摘　　要：时速600 km/h高速磁浮列车-轨道梁耦合系统的横向动力学性能对系统安全性、舒适性和经济性有重要影响,有必要建立列车-轨道梁的横向耦合振动统一方程组模型进行研究。基于多刚体动力学,采用矩阵组装法建立246自由度的5节编组列车横向振动微分方程组;基于连续体受迫振动理论,采用模态叠加法建立240自由度的40跨柔性轨道梁的横向振动微分方程组;通过对均布磁浮力进行离散化处理,基于PD控制算法建立156个磁浮间隙代数方程组;采用三角级数法对轨道不平顺功率谱密度函数进行时域反演,考虑轨道横向不平顺对磁浮系统耦合振动的影响。采用软件Mathematica编写了高速磁浮系统横向耦合振动的微分代数方程组模型,并数值求解得到系统动力时程响应。研究结果表明,理论模型能够完整反映高速磁浮系统轨道梁、磁浮间隙和车辆的振动规律,可有效模拟轨道不平顺、风致横向荷载联合作用下的系统横向耦合振动;数值模拟结果表明:轨道梁跨中最大位移与车速呈正相关关系,且存在一临界车速使得跨中最大加速度取最大值;新型轨道梁各车速下跨中最大位移小于0.32 mm,其横向动力学性能满足要求。研究成果可为高速磁浮轨道结构设计和关键技术研究提供参考。The lateral dynamics performance of the 600 km/h high-speed maglev train-guideway beam coupling system significantly impacts the system’s safety,comfort,and economy.The unified model of train-guideway beam lateral coupling vibration is essential for research on the maglev system.The Matrix assembly method was used to establish a 246-DoF five-marshaling train's differential equations based on multi-rigid body dynamics.Based on the continuum forced vibration theory,the modal superposition method was used to establish 240-DoF differential equations for 40-span flexible guideway beams.By discretizing the uniformly distributed electromagnetic force,156 maglev air-gap algebraic equations were derived based on the PD control algorithm.The time-domain numerical functions of track irregularities,derived from the power spectral density function through the trigonometric series method,were obtained to evaluate their influence on the system’s dynamic responses.The unified differential-algebraic equations of the high-speed maglev system lateral coupling vibration were compiled in the Mathematica notebooks.In which the dynamic time-history response was obtained through numerical solutions.The theoretical model fully reflects the dynamic behavior of the guideway beam,the air-gap,and the system’s lateral vibration under the combined action of track irregularities and wind-induced lateral loads.The numerical simulation results show that the maximum mid-span displacement is positively correlated with the train’s speed,and there is a critical speed that maximizes the acceleration in the mid span.The maximum mid-span displacement of this guideway beam at various speeds is less than 0.32 mm.Therefore,the beam’s lateral dynamic performance meets the requirements.The research results can provide references for structural design and critical technology research for high-speed maglev systems.

关 键 词：高速磁浮 横向耦合振动 轨道梁 

分 类 号：U237[交通运输工程—道路与铁道工程]